2L 6s

Two notable harmonic entropy minima for this MOS pattern are srutal/pajara and shrutar. They are both improper. As for proper scales, I can't think of any.

In addition to the true MOS form, LsssLsss, these scales also have an interesting near-MOS form, LssLssss, in which the period is the only generic interval represented by more than two specific intervals.

Generator										Cents	Comments
0\2										0
									1\26	46.15
								1\24		50
									2\46	52.17	Shrutar is around here
							1\22			54.55
						1\20				60
					1\18					66.67
				1\16						75
			1\14							85.71	L/s = 4
										600/(3+pi)	L/s = pi
		1\12								100	L/s = 3
										600/(3+e)	L/s = e
				3\34						105.88	Srutal/Pajara is around here
						8\90				106.67
								21\236		106.78
									34\382	106.81
							13\146			106.85
					5\56					107.14
			2\22							109.09
	1\10									120	Boundary of propriety (generators larger than this are proper)
										600/(3+sqrt(3))
			3\28							128.57	Supersharp
					8\74					129.73	Supersharp
							21\194			129.9
									55\508	129.92	Unnamed golden temperament
								34\314		129.94
						13\120				130
				5\46						130.43	Twothirdtonic
										600/(3+pi/2)
		2\18								133.33	Optimum rank range (L/s=3/2)
1\8										150